Metal 3D Printing Design Guide

Direct Metal Laser Sintering (DMLS) 3D printing for parts with reduced cost and little waste.

STEM Career Outlook

Wages, employment opportunities, and growth projections for STEM jobs.

Injection Molding Design Guide

Guide for high quality and cost-effective plastic injection molding.

Negotiate Your Salary

Learn the best principles to negotiate the salary you deserve!

more free publications

Materials

Design

Processes

Units

Formulas

Math
Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W14 × 82
Wide Flange Steel I Beam | Single Span | Two Equal Spans | Three Equal Spans | Four Equal Spans

For a simply supported beam in three equal spans, we compute the displacement at the middle of the first and the third spans, and the maximum normal stress stress_max occuring at the second and third supports of the beam.
The tabulated data listed in this page are calculated based on the area moment of inertia (Ixx = 882 in4) for the W14 × 82 Wide Flange Steel I Beam and the typical Young's modulus (E = 3.046 × 107 psi) of steels. Note that the typical yielding stress Yield of steels can range from 1.015 × 104 to 2.970 × 105 psi. The purpose of this page is to give a rough estimation of the load-bearing capacity of this particular beam, rather than a guideline for designing actual building structures. Please check your local building codes for regulatory requirements.
Note: The weight of the beam itself is not included in the calculation.
L = 3 ft
L = 5 ft
L = 10 ft
L = 15 ft
L = 20 ft
L = 25 ft
L = 30 ft
L = 40 ft
L = 50 ft
L = 60 ft
L = 70 ft
L = 80 ft
L = 90 ft
L = 100 ft
L = 125 ft
   
Steel I Beam: W14 × 82 (Wide Flange 14 inch tall × 82 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
82.0 2.91 × 10-6 7.18
90.0 3.19 × 10-6 7.89
100 3.54 × 10-6 8.76
200 7.09 × 10-6 17.5
300 1.06 × 10-5 26.3
400 1.42 × 10-5 35.0
500 1.77 × 10-5 43.8
600 2.13 × 10-5 52.6
700 2.48 × 10-5 61.3
800 2.83 × 10-5 70.1
900 3.19 × 10-5 78.9
1000 3.54 × 10-5 87.6
2000 7.09 × 10-5 175
3000 1.06 × 10-4 263
4000 1.42 × 10-4 350
5000 1.77 × 10-4 438
6000 2.13 × 10-4 526
7000 2.48 × 10-4 613
8000 2.83 × 10-4 701
9000 3.19 × 10-4 789
1.00 × 104 3.54 × 10-4 876
2.00 × 104 7.09 × 10-4 1750
3.00 × 104 0.00106 2630
4.00 × 104 0.00142 3500
5.00 × 104 0.00177 4380
6.00 × 104 0.00213 5260
7.00 × 104 0.00248 6130
8.00 × 104 0.00283 7010
9.00 × 104 0.00319 7890
1.00 × 105 0.00354 8760
2.00 × 105 0.00709 1.75 × 104
3.00 × 105 0.0106 2.63 × 104
4.00 × 105 0.0142 3.50 × 104
5.00 × 105 0.0177 4.38 × 104
6.00 × 105 0.0213 5.26 × 104
7.00 × 105 0.0248 6.13 × 104
8.00 × 105 0.0283 7.01 × 104
9.00 × 105 0.0319 7.89 × 104
1.00 × 106 0.0354 8.76 × 104
2.00 × 106 0.0709 1.75 × 105
3.00 × 106 0.106 2.63 × 105
3.39 × 106 0.120 2.97 × 105
Steel I Beam: W14 × 82 (Wide Flange 14 inch tall × 82 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
82.0 2.24 × 10-5 20.0
90.0 2.46 × 10-5 21.9
100 2.73 × 10-5 24.3
200 5.47 × 10-5 48.7
300 8.20 × 10-5 73.0
400 1.09 × 10-4 97.3
500 1.37 × 10-4 122
600 1.64 × 10-4 146
700 1.91 × 10-4 170
800 2.19 × 10-4 195
900 2.46 × 10-4 219
1000 2.73 × 10-4 243
2000 5.47 × 10-4 487
3000 8.20 × 10-4 730
4000 0.00109 973
5000 0.00137 1220
6000 0.00164 1460
7000 0.00191 1700
8000 0.00219 1950
9000 0.00246 2190
1.00 × 104 0.00273 2430
2.00 × 104 0.00547 4870
3.00 × 104 0.00820 7300
4.00 × 104 0.0109 9730
5.00 × 104 0.0137 1.22 × 104
6.00 × 104 0.0164 1.46 × 104
7.00 × 104 0.0191 1.70 × 104
8.00 × 104 0.0219 1.95 × 104
9.00 × 104 0.0246 2.19 × 104
1.00 × 105 0.0273 2.43 × 104
2.00 × 105 0.0547 4.87 × 104
3.00 × 105 0.0820 7.30 × 104
4.00 × 105 0.109 9.73 × 104
5.00 × 105 0.137 1.22 × 105
6.00 × 105 0.164 1.46 × 105
7.00 × 105 0.191 1.70 × 105
8.00 × 105 0.219 1.95 × 105
9.00 × 105 0.246 2.19 × 105
1.00 × 106 0.273 2.43 × 105
1.22 × 106 0.334 2.97 × 105
Steel I Beam: W14 × 82 (Wide Flange 14 inch tall × 82 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
82.0 3.59 × 10-4 79.8
90.0 3.94 × 10-4 87.6
100 4.37 × 10-4 97.3
200 8.75 × 10-4 195
300 0.00131 292
400 0.00175 389
500 0.00219 487
600 0.00262 584
700 0.00306 681
800 0.00350 779
900 0.00394 876
1000 0.00437 973
2000 0.00875 1950
3000 0.0131 2920
4000 0.0175 3890
5000 0.0219 4870
6000 0.0262 5840
7000 0.0306 6810
8000 0.0350 7790
9000 0.0394 8760
1.00 × 104 0.0437 9730
2.00 × 104 0.0875 1.95 × 104
3.00 × 104 0.131 2.92 × 104
4.00 × 104 0.175 3.89 × 104
5.00 × 104 0.219 4.87 × 104
6.00 × 104 0.262 5.84 × 104
7.00 × 104 0.306 6.81 × 104
8.00 × 104 0.350 7.79 × 104
9.00 × 104 0.394 8.76 × 104
1.00 × 105 0.437 9.73 × 104
2.00 × 105 0.875 1.95 × 105
3.00 × 105 1.31 2.92 × 105
3.05 × 105 1.33 2.97 × 105
Steel I Beam: W14 × 82 (Wide Flange 14 inch tall × 82 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
82.0 0.00182 180
90.0 0.00199 197
100 0.00221 219
200 0.00443 438
300 0.00664 657
400 0.00886 876
500 0.0111 1100
600 0.0133 1310
700 0.0155 1530
800 0.0177 1750
900 0.0199 1970
1000 0.0221 2190
2000 0.0443 4380
3000 0.0664 6570
4000 0.0886 8760
5000 0.111 1.10 × 104
6000 0.133 1.31 × 104
7000 0.155 1.53 × 104
8000 0.177 1.75 × 104
9000 0.199 1.97 × 104
1.00 × 104 0.221 2.19 × 104
2.00 × 104 0.443 4.38 × 104
3.00 × 104 0.664 6.57 × 104
4.00 × 104 0.886 8.76 × 104
5.00 × 104 1.11 1.10 × 105
6.00 × 104 1.33 1.31 × 105
7.00 × 104 1.55 1.53 × 105
8.00 × 104 1.77 1.75 × 105
9.00 × 104 1.99 1.97 × 105
1.00 × 105 2.21 2.19 × 105
1.36 × 105 3.00 2.97 × 105
Steel I Beam: W14 × 82 (Wide Flange 14 inch tall × 82 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
82.0 0.00574 319
90.0 0.00630 350
100 0.00700 389
200 0.0140 779
300 0.0210 1170
400 0.0280 1560
500 0.0350 1950
600 0.0420 2340
700 0.0490 2730
800 0.0560 3120
900 0.0630 3500
1000 0.0700 3890
2000 0.140 7790
3000 0.210 1.17 × 104
4000 0.280 1.56 × 104
5000 0.350 1.95 × 104
6000 0.420 2.34 × 104
7000 0.490 2.73 × 104
8000 0.560 3.12 × 104
9000 0.630 3.50 × 104
1.00 × 104 0.700 3.89 × 104
2.00 × 104 1.40 7.79 × 104
3.00 × 104 2.10 1.17 × 105
4.00 × 104 2.80 1.56 × 105
5.00 × 104 3.50 1.95 × 105
6.00 × 104 4.20 2.34 × 105
7.00 × 104 4.90 2.73 × 105
7.63 × 104 5.34 2.97 × 105
Steel I Beam: W14 × 82 (Wide Flange 14 inch tall × 82 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
82.0 0.0140 499
90.0 0.0154 548
100 0.0171 608
200 0.0342 1220
300 0.0513 1830
400 0.0683 2430
500 0.0854 3040
600 0.103 3650
700 0.120 4260
800 0.137 4870
900 0.154 5480
1000 0.171 6080
2000 0.342 1.22 × 104
3000 0.513 1.83 × 104
4000 0.683 2.43 × 104
5000 0.854 3.04 × 104
6000 1.03 3.65 × 104
7000 1.20 4.26 × 104
8000 1.37 4.87 × 104
9000 1.54 5.48 × 104
1.00 × 104 1.71 6.08 × 104
2.00 × 104 3.42 1.22 × 105
3.00 × 104 5.13 1.83 × 105
4.00 × 104 6.83 2.43 × 105
4.88 × 104 8.34 2.97 × 105
Steel I Beam: W14 × 82 (Wide Flange 14 inch tall × 82 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
82.0 0.0291 718
90.0 0.0319 789
100 0.0354 876
200 0.0709 1750
300 0.106 2630
400 0.142 3500
500 0.177 4380
600 0.213 5260
700 0.248 6130
800 0.283 7010
900 0.319 7890
1000 0.354 8760
2000 0.709 1.75 × 104
3000 1.06 2.63 × 104
4000 1.42 3.50 × 104
5000 1.77 4.38 × 104
6000 2.13 5.26 × 104
7000 2.48 6.13 × 104
8000 2.83 7.01 × 104
9000 3.19 7.89 × 104
1.00 × 104 3.54 8.76 × 104
2.00 × 104 7.09 1.75 × 105
3.00 × 104 10.6 2.63 × 105
3.39 × 104 12.0 2.97 × 105
Steel I Beam: W14 × 82 (Wide Flange 14 inch tall × 82 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
82.0 0.0918 1280
90.0 0.101 1400
100 0.112 1560
200 0.224 3120
300 0.336 4670
400 0.448 6230
500 0.560 7790
600 0.672 9350
700 0.784 1.09 × 104
800 0.896 1.25 × 104
900 1.01 1.40 × 104
1000 1.12 1.56 × 104
2000 2.24 3.12 × 104
3000 3.36 4.67 × 104
4000 4.48 6.23 × 104
5000 5.60 7.79 × 104
6000 6.72 9.35 × 104
7000 7.84 1.09 × 105
8000 8.96 1.25 × 105
9000 10.1 1.40 × 105
1.00 × 104 11.2 1.56 × 105
1.91 × 104 21.4 2.97 × 105
Steel I Beam: W14 × 82 (Wide Flange 14 inch tall × 82 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
82.0 0.224 2000
90.0 0.246 2190
100 0.273 2430
200 0.547 4870
300 0.820 7300
400 1.09 9730
500 1.37 1.22 × 104
600 1.64 1.46 × 104
700 1.91 1.70 × 104
800 2.19 1.95 × 104
900 2.46 2.19 × 104
1000 2.73 2.43 × 104
2000 5.47 4.87 × 104
3000 8.20 7.30 × 104
4000 10.9 9.73 × 104
5000 13.7 1.22 × 105
5230 14.3 1.27 × 105
Steel I Beam: W14 × 82 (Wide Flange 14 inch tall × 82 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
82.0 0.465 2870
90.0 0.510 3150
100 0.567 3500
200 1.13 7010
300 1.70 1.05 × 104
400 2.27 1.40 × 104
500 2.83 1.75 × 104
600 3.40 2.10 × 104
700 3.97 2.45 × 104
800 4.54 2.80 × 104
900 5.10 3.15 × 104
1000 5.67 3.50 × 104
2000 11.3 7.01 × 104
2520 14.3 8.85 × 104
Steel I Beam: W14 × 82 (Wide Flange 14 inch tall × 82 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
82.0 0.861 3910
90.0 0.945 4290
100 1.05 4770
200 2.10 9540
300 3.15 1.43 × 104
400 4.20 1.91 × 104
500 5.25 2.39 × 104
600 6.30 2.86 × 104
700 7.35 3.34 × 104
800 8.40 3.82 × 104
900 9.45 4.29 × 104
1000 10.5 4.77 × 104
1360 14.3 6.50 × 104
Steel I Beam: W14 × 82 (Wide Flange 14 inch tall × 82 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
82.0 1.47 5110
90.0 1.61 5610
100 1.79 6230
200 3.58 1.25 × 104
300 5.37 1.87 × 104
400 7.17 2.49 × 104
500 8.96 3.12 × 104
600 10.7 3.74 × 104
700 12.5 4.36 × 104
799 14.3 4.98 × 104
Steel I Beam: W14 × 82 (Wide Flange 14 inch tall × 82 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
82.0 2.35 6470
90.0 2.58 7100
100 2.87 7890
200 5.74 1.58 × 104
300 8.61 2.37 × 104
400 11.5 3.15 × 104
499 14.3 3.93 × 104
Steel I Beam: W14 × 82 (Wide Flange 14 inch tall × 82 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
82.0 3.59 7980
90.0 3.94 8760
100 4.37 9730
200 8.75 1.95 × 104
300 13.1 2.92 × 104
327 14.3 3.18 × 104
Steel I Beam: W14 × 82 (Wide Flange 14 inch tall × 82 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
82.0 8.76 1.25 × 104
90.0 9.61 1.37 × 104
100 10.7 1.52 × 104
134 14.3 2.04 × 104
Additional Information
Related Pages
FREE Publications
Metal 3D Printing Design Guide

Direct Metal Laser Sintering (DMLS) 3D printing for parts with reduced cost and little waste.

STEM Career Outlook

Wages, employment opportunities, and growth projections for STEM jobs.

Injection Molding Design Guide

Guide for high quality and cost-effective plastic injection molding.

Negotiate Your Salary

Learn the best principles to negotiate the salary you deserve!

more publications